document.write( "Question 895758: Two angles are complementary. One angle is 10 more than twice the other.what are the measure of the two angles? \n" ); document.write( "
Algebra.Com's Answer #543080 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Complementary angles add up to 90 degrees. \n" ); document.write( "Let A be the first angle, and B be the second. \n" ); document.write( "A + B = 90 (complementary) \n" ); document.write( "A = 2B+10 \n" ); document.write( "Substitute the value of A from the second equation into the first. \n" ); document.write( "A + B = 90 \n" ); document.write( "(2B+10) + B = 90 \n" ); document.write( "3B + 10 = 90 \n" ); document.write( "Subtract 10 from each side \n" ); document.write( "3B = 80 \n" ); document.write( "Divide each side by 3 \n" ); document.write( "B = 26 \n" ); document.write( "A is twice that plus 10. \n" ); document.write( "A = (26 \n" ); document.write( "A = 53 \n" ); document.write( "A = 63 \n" ); document.write( "63 |